85578048484209 has 10 divisors (see below), whose sum is σ = 127838813167890. Its totient is φ = 57052032322752.

The previous prime is 85578048484189. The next prime is 85578048484231. The reversal of 85578048484209 is 90248484087558.

85578048484209 is a `hidden beast` number, since 8 + 5 + 5 + 7 + 80 + 48 + 484 + 20 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 75770879394609 + 9807169089600 = 8704647^2 + 3131640^2 .

It is not a de Polignac number, because 85578048484209 - 2⁸ = 85578048483953 is a prime.

It is not an unprimeable number, because it can be changed into a prime (85578048484009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 528259558464 + ... + 528259558625.

It is an arithmetic number, because the mean of its divisors is an integer number (12783881316789).

Almost surely, 2^{85578048484209} is an apocalyptic number.

It is an amenable number.

85578048484209 is a deficient number, since it is larger than the sum of its proper divisors (42260764683681).

85578048484209 is a wasteful number, since it uses less digits than its factorization.

85578048484209 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056519117101 (or 1056519117092 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 85578048484209 in words is "eighty-five trillion, five hundred seventy-eight billion, forty-eight million, four hundred eighty-four thousand, two hundred nine".